100042735440164 has 24 divisors (see below), whose sum is σ = 192494540356608. Its totient is φ = 45115907891040.

The previous prime is 100042735440119. The next prime is 100042735440199. The reversal of 100042735440164 is 461044537240001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8951563439 + ... + 8951574614.

It is an arithmetic number, because the mean of its divisors is an integer number (8020605848192).

Almost surely, 2^{100042735440164} is an apocalyptic number.

It is an amenable number.

100042735440164 is a deficient number, since it is larger than the sum of its proper divisors (92451804916444).

100042735440164 is a wasteful number, since it uses less digits than its factorization.

100042735440164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17903138195 (or 17903138193 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 100042735440164 in words is "one hundred trillion, forty-two billion, seven hundred thirty-five million, four hundred forty thousand, one hundred sixty-four".